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Universal Relation

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (A) has (5) elements and (R=A\times A), how many equivalence classes will (R) have?Class 12Relations and FunctionsEquivalence relationLevel 18HardMathematicsOn (A={1,2,3,4}), an equivalence relation has the single class ({1,2,3,4}). Which relation is it?Class 12Relations and FunctionsEquivalence relationLevel 18HardMathematicsFor a non-empty set (A), which statement about the universal relation (A\times A) is correct?Class 12Relations and FunctionsEquivalence relationLevel 18HardMathematicsOn a set (A), which is the largest equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18ExpertMathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1),(2,3),(3,2)}). Which relation is this?Class 12Relations and FunctionsEquivalence relationLevel 17ExpertMathematicsOn (A={1,2,3,4}), (R=A\times A). How many equivalence classes does it have?Class 12Relations and FunctionsEquivalence relationLevel 17ExpertMathematicsOn (A={1,2,3,4}), (R=A\times A). Which statement about its equivalence classes is correct?Class 12Relations and FunctionsEquivalence relationLevel 16ExpertMathematicsIf (A) has (4) elements, how many equivalence relations have all elements in one class?Class 12Relations and FunctionsEquivalence relationLevel 17HardMathematicsIf (A) has (6) elements and the universal relation is taken, how many ordered pairs are in the relation?Class 12Relations and FunctionsEquivalence relationLevel 18MediumMathematicsWhich option gives the universal relation on (A={1,2})?Class 12Relations and FunctionsEquivalence relationLevel 18MediumMathematicsFor (A={1,2,3,4}), let (R=A\times A). How many equivalence classes does this relation have?Class 12Relations and FunctionsEquivalence relationLevel 17MediumMathematicsIf (A) has (n) elements, how many equivalence classes are formed by the universal relation (A\times A)?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsFor (A={1,2,3}), which statement is correct about the universal relation (R=A\times A)?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsOn (A={1,3,5,7}), (aRb) when (a+b) is even. What type of relation is (R)?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsOn (A={2,4,6,8}), (aRb) when (a) and (b) are both divisible by (2). What type of relation is (R)?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsOn (A={1,2,3}), how many ordered pairs will be in (R=A\times A)?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsOn (A={1,2,3,4}), the universal relation (R=A\times A) is given. What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1),(2,3),(3,2)}). What relation is this?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsOn the set (A={1,2,3}), the universal relation (R=A\times A) is given. What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsWhat are the equivalence classes of the universal relation on a set?Class 12Relations and FunctionsEquivalence relationLevel 16Easy